New Exact Explicit Nonlinear Wave Solutions for the Broer-Kaup Equation
We study the nonlinear wave solutions for the Broer-Kaup equation. Many exact explicit expressions of the nonlinear wave solutions for the equation are obtained by exploiting the bifurcation method and qualitative theory of dynamical systems. These solutions contain solitary wave solutions, singular...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/984791 |
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| _version_ | 1832553180862349312 |
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| author | Zhenshu Wen |
| author_facet | Zhenshu Wen |
| author_sort | Zhenshu Wen |
| collection | DOAJ |
| description | We study the nonlinear wave solutions for the Broer-Kaup equation. Many exact explicit expressions of the nonlinear wave solutions for the equation are obtained by exploiting the bifurcation method and qualitative theory of dynamical systems. These solutions contain solitary wave solutions, singular solutions, periodic singular solutions, and kink-shaped solutions, most of which are new. Some previous results are extended. |
| format | Article |
| id | doaj-art-3548b2a1b3d34120bdfb9042324e05a6 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-3548b2a1b3d34120bdfb9042324e05a62025-02-03T05:55:19ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/984791984791New Exact Explicit Nonlinear Wave Solutions for the Broer-Kaup EquationZhenshu Wen0School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, ChinaWe study the nonlinear wave solutions for the Broer-Kaup equation. Many exact explicit expressions of the nonlinear wave solutions for the equation are obtained by exploiting the bifurcation method and qualitative theory of dynamical systems. These solutions contain solitary wave solutions, singular solutions, periodic singular solutions, and kink-shaped solutions, most of which are new. Some previous results are extended.http://dx.doi.org/10.1155/2014/984791 |
| spellingShingle | Zhenshu Wen New Exact Explicit Nonlinear Wave Solutions for the Broer-Kaup Equation Journal of Applied Mathematics |
| title | New Exact Explicit Nonlinear Wave Solutions for the Broer-Kaup Equation |
| title_full | New Exact Explicit Nonlinear Wave Solutions for the Broer-Kaup Equation |
| title_fullStr | New Exact Explicit Nonlinear Wave Solutions for the Broer-Kaup Equation |
| title_full_unstemmed | New Exact Explicit Nonlinear Wave Solutions for the Broer-Kaup Equation |
| title_short | New Exact Explicit Nonlinear Wave Solutions for the Broer-Kaup Equation |
| title_sort | new exact explicit nonlinear wave solutions for the broer kaup equation |
| url | http://dx.doi.org/10.1155/2014/984791 |
| work_keys_str_mv | AT zhenshuwen newexactexplicitnonlinearwavesolutionsforthebroerkaupequation |